38920582089 has 9 divisors (see below), whose sum is σ = 56219473479. Its totient is φ = 25946660160.

The previous prime is 38920582061. The next prime is 38920582093. The reversal of 38920582089 is 98028502983.

The square root of 38920582089 is 197283.

It is a perfect power (a square), and thus also a powerful number.

38920582089 is a `hidden beast` number, since 38 + 9 + 20 + 582 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38389740489 + 530841600 = 195933^2 + 23040^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 38920582089 - 2¹³ = 38920573897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38920582009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 558969 + ... + 624729.

Almost surely, 2^38920582089 is an apocalyptic number.

38920582089 is the 197283-rd square number.

38920582089 is the 98642-nd centered octagonal number.

It is an amenable number.

38920582089 is a deficient number, since it is larger than the sum of its proper divisors (17298891390).

38920582089 is an frugal number, since it uses more digits than its factorization.

38920582089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131528 (or 65764 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 38920582089 in words is "thirty-eight billion, nine hundred twenty million, five hundred eighty-two thousand, eighty-nine".